There isn't much point to running the most recent kernel on such old hardware anyways. You could try if current Ubuntu still works with old 3.x kernels. It migh

There isn't much point to running the most recent kernel on such old hardware anyways. You could try if current Ubuntu still works with old 3.x kernels. It might just do, systemd would be the most likely offender to stop the show I guess. But if 3.19 still supports your ATI, you even got yourself a kernel that's still under LTS. Just in case you need a silly project for the holiday season...